Answer
$x=1-\ln{5}$
Work Step by Step
We are given that $e^{1-x}=5$
Take $\ln$ of both sides to obtain:
$\ln{e^{1-x}}=\ln{5}\\1-x=\ln{5}\\1=x+\ln{5}$
Therefore, we get: $x=1-\ln{5}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Chapter Review - Review Exercises - Page 370: 44
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